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... whose Auslander–Reiten (AR) components have a boundary [5]. • Vossieck [23] introduced the family of derived-discrete algebras, for which we now understand various non-trivial homological properties =-=[10, 11, 12, 13, 14]-=-. These algebras are gentle, and thus they can be used as a template for further study of derived categories of gentle algebras. • Inspired by a classic paper [16] on string algebras, Bekkert and Merk...